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tresset_1 [31]
3 years ago
14

The College Board reported the following mean scores for the three parts of the Scholastic Aptitude Test (SAT) (The World Almana

c, 2009): critical reading-502; mathematics-515; writing-494; Assume that the population standard deviation on each part of the test is = 100.. What is the probability a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 515 on the Mathematics part of the test (to 4 decimals)?
Mathematics
1 answer:
pochemuha3 years ago
6 0
A. P(492 < x-bar < 512) 

<span>z = (492-502)/100/√90 </span>

<span>z = -0.95 is 0.1711 </span>

<span>z = (512-502)/100/√90 </span>

<span>z = 0.95 is 0.8289 </span>

<span>b. P(505 < x-bar < 525) </span>

<span>z = (505-515)/100/ √90 </span>

<span>z = -0.95 </span>

<span>z = (525-515)/100/ √90 </span>

<span>z = 0.95 </span>

<span>P(-0.95< z < 0.95) = 0.6578 </span>

<span>P(-0.95< z < 0.95) = 0.6578 </span>

<span>c. P(484 < x-bar < 504) </span>

<span>z = (484-494)/100/√100 </span>

<span>z = -1 is 0.1587 </span>

<span>z = (504-494)/100/√100 </span>

<span>z = 1 is 0.8413 </span>

<span>P(-1< z <1) = 0.6826</span>
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Calculate time period of a simple pendulum if it takes 72 seconds to complete 24 oscillations
Anvisha [2.4K]

Answer:

The time period of a simple pendulum if it takes 72 seconds to complete 24 oscillation will be 3 seconds.          

Step-by-step explanation:

Total number of oscillations = 24

Time taken to complete 24 oscillations = 2 seconds

So, the frequency 'f' of the simple pendulum will be:

                                                       f=\frac{24}{72}

                                                       f=\frac{1}{3}

Let 'T' be the time period.

                                           T=\frac{1}{f}

                                           T=\frac{1}{\frac{1}{3}}

                      \mathrm{Apply\:the\:fraction\:rule}:\quad \frac{1}{\frac{b}{c}}=\frac{c}{b}

                                           T=\frac{3}{1}

                                           T=3

Therefore, the time period of a simple pendulum if it takes 72 seconds to complete 24 oscillation will be 3 seconds.                  

6 0
3 years ago
The sum of the interior angle measures of a polygon with n sides is 180 find n
jeka57 [31]

Answer: n is 3


Step-by-step explanation: n can only be 3 as a triangle is the only polygon whose internal angles have a sum of 180 degrees


7 0
3 years ago
The figure shows two parallel lines KL and NO cut by the transversals KO and LN.
Sever21 [200]

Answer:

(A)  

Step-by-step explanation:

From the given figure, we have to prove whether the two given triangles are congruent or similar.

Thus, From the figure, ∠3=∠4 (Vertically opposite angles)

Since, KL and NO are parallel lines and KO and LN are transversals, then

measure angle 1= measure angle 5 that is ∠1=∠5(Alternate angles).

Thus, by AA similarity rule, ΔKLM is similar to ΔONM.

Thus, Option A that is Triangle KLM is similar to triangle ONM because measure of angle 3 equals measure of angle 4 and measure of angle 1 equals measure of angle 5 is correct.

8 0
3 years ago
Read 2 more answers
How to solve this problem
gregori [183]

Answer: \sqrt100=10

Step-by-step explanation:

\sqrt[n](-4-4)^{2} +(-3-3)^{2} \\\sqrt64+36\\\sqrt100\\=10

8 0
3 years ago
what is the slope intercept form of the equation of the line described by (-4,-5), parallel to y=-2x -5
Eddi Din [679]

Answer:

y = - 2x - 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x - 5 ← is in slope- intercept form

with m = - 2, thus

y = - 2x + c ← is the partial equation of the line

To find c substitute (- 4, - 5) into the partial equation

- 5 = 8 + c ⇒ c = - 5 - 8 = - 13

y = - 2x - 13 ← equation of line

7 0
3 years ago
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